Elliptic curves in class 16.1-b over 4.4.13888.1
Isogeny class 16.1-b contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 16.1-b1
| \( \bigl[a^{2} - a - 3\) , \( \frac{1}{3} a^{3} + \frac{1}{3} a^{2} - \frac{10}{3} a - 4\) , \( a^{2} - a - 3\) , \( -\frac{14}{3} a^{3} + \frac{22}{3} a^{2} + \frac{80}{3} a - 11\) , \( 29 a^{3} - 27 a^{2} - 214 a - 100\bigr] \)
|
| 16.1-b2
| \( \bigl[a^{2} - a - 3\) , \( \frac{1}{3} a^{3} - \frac{2}{3} a^{2} - \frac{7}{3} a\) , \( a^{2} - a - 3\) , \( -a^{2} + a + 1\) , \( -\frac{1}{3} a^{3} - \frac{1}{3} a^{2} + \frac{4}{3} a - 2\bigr] \)
|
| 16.1-b3
| \( \bigl[a^{2} - a - 3\) , \( -\frac{1}{3} a^{3} - \frac{1}{3} a^{2} + \frac{4}{3} a + 4\) , \( \frac{1}{3} a^{3} - \frac{2}{3} a^{2} - \frac{4}{3} a + 1\) , \( \frac{137}{3} a^{3} - \frac{547}{3} a^{2} + \frac{106}{3} a + 218\) , \( 603 a^{3} - 2384 a^{2} + 432 a + 2784\bigr] \)
|
| 16.1-b4
| \( \bigl[\frac{1}{3} a^{3} + \frac{1}{3} a^{2} - \frac{7}{3} a - 2\) , \( -\frac{1}{3} a^{3} - \frac{1}{3} a^{2} + \frac{10}{3} a + 4\) , \( \frac{1}{3} a^{3} - \frac{2}{3} a^{2} - \frac{4}{3} a + 1\) , \( -\frac{1}{3} a^{3} - \frac{16}{3} a^{2} + \frac{52}{3} a + 20\) , \( -7 a^{3} + 14 a^{2} + 20 a + 1\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 6 & 3 & 2 \\
6 & 1 & 2 & 3 \\
3 & 2 & 1 & 6 \\
2 & 3 & 6 & 1
\end{array}\right)\)
